Q1. Particle moving in a fluid - 2 2 Time (s) Time (s) Time (s) a) Which of the above displacement x versus time t graph best describes a molecule's displacement under a constant force in a fluid? Explain. b) Given that the applied force is F = 3.77 pN, find the radius R of the particle. Assume the molecule is well approximated by a sphere immersed in water at room temperature. Displacement (mm)
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- Problem6 When a viscous fluid flows parallel to a horizontal plate, it leads to the development of a thin boundary layer on the plate surface. The velocity within the boundary layer varies with the vertical direction as u(y) = US where 8(x) = 3.5 VX/Uis the boundary layer thickness vx 8(x) that increases with the horizontal position. Outside of the boundary layer, the flow is uniform and equal to the free stream velocity U... Show that for two fluids of different viscosities (₁, ₂) and densities (P₁, P2) and flowing at the same free stream velocity, the ratio of the drag force they generate on the plate is proportional to the square root of the ratio of the viscosities and densities: FD2 FD1 = H₂P2 M₁P₁3. A water tank filled to height h, has small hole at height z. Show that the stream of water emerging from this hole strikes the ground at the horizontal distance d = 2√z(h-2) from the base of the tank. What choice of z gives the largest horizontal distance? What is the largest horizontal distance? N ←I Review I Constants A 10 cm x 10 cm x 10 cm wood block with a density of 680 kg/m floats in water. You may want to review (Page). Part A What is the distance from the top of the block to the water if the water is fresh? Express your answer to two significant figures and include the appropriate units. HẢ ? d = Value Units Submit Request Answer Part B If it's seawater? Suppose that p = 1030 kg/m. Express your answer to two significant figures and include the appropriate units. Value Units Submit Request Answer
- Don't use ai to answer I will report your answer Solve it Asap with explanation and calculation.A helium balloon (in the shape of a sphere) has radius 7.10 m. For the density of air, please use 1.29 kg/m^3, and for Helium, use .179 kg/m^3 Part A How much additional mass (payload) could this balloon lift? You should assume the balloon's skin, plus other parts of the balloon's structure have a total mass of 900 kg. Note however that this number does NOT yet include the mass of the helium filling the balloon, which you will need to account for! Express your answer using two significant figures. ▸ View Available Hint(s) m = for Part A for Part A undo for Part A redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A Submit Constants kgI know this is a relatively simple question, but can someone walk me through part A and B on this practice problem?